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Simplifying 2(2x + 9) + 2(x + -5) = 50 Reorder the terms: 2(9 + 2x) + 2(x + -5) = 50 (9 * 2 + 2x * 2) + 2(x + -5) = 50 (18 + 4x) + 2(x + -5) = 50 Reorder the terms: 18 + 4x + 2(-5 + x) = 50 18 + 4x + (-5 * 2 + x * 2) = 50 18 + 4x + (-10 + 2x) = 50 Reorder the terms: 18 + -10 + 4x + 2x = 50 Combine like terms: 18 + -10 = 8 8 + 4x + 2x = 50 Combine like terms: 4x + 2x = 6x 8 + 6x = 50 Solving 8 + 6x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 50 + -8 6x = 50 + -8 Combine like terms: 50 + -8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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